• What restriction (on x or y) does dy have? What dx point (x, y) does this correspond to? • Find the equation of the tangent line corresponding to x = 1. (Hint: What y value does this point have?) Explain how you get this equation, how you choose your computations.

Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

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Q: 1 Find the derivative of f(x) = v2 – 3xª 2 -4 |

A: We use chain rule to find derivative

Q: Implicitly differentiate the equation y? + 4xy +x In 2x = 0. Isolate y' in the resulting equation.…

A: The equation of tangent on the curve f(x,y)= 0, at (a,b) is given by, (y - b) = y'|(a,b) (x - a)…

Q: Find an equation of the tangent line to f (x) = x² Vx4 – 12 at x = 2. - %3D

A: Explained below

Q: Given the equation below, find 38x5 +10x⁹5y + yº 95 9 dy dx = y = = 49 dy da Now, find the equation…

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Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: 1) Find the slope of the tangent line to the graph of f(x) = x2 - 3 at the point (2, 1). %3D (8…

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